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- W4288103410 abstract "We prove a minimax principle for weakly compact JB$^*$-triples characterizing geometrically the singular values of an element. Among the consequences of this principle we present a Weyl inequality on the perturbation of the singular values and a Cauchy-Poincar'e (interlacing) theorem. We also obtain a version of the Ky Fan maximum principle in the setting of weakly compact JB$^*$-triples. We study perturbations of the spectral resolutions showing that small perturbations of an element produces small perturbations of the corresponding spectral resolutions. As a consequence we obtain that weakly compact JB$^*$-triples satisfy the property that perturbations of a convex combination of elements in the closed unit ball coincide with a convex combination of perturbations of the elements also in the closed unit ball. All these results hold true when particularized to weakly compact JB$^*$-algebras." @default.
- W4288103410 created "2022-07-28" @default.
- W4288103410 creator A5039383056 @default.
- W4288103410 date "2019-09-23" @default.
- W4288103410 modified "2023-10-16" @default.
- W4288103410 title "The minimax principle and related topics in the Jordan setting" @default.
- W4288103410 doi "https://doi.org/10.48550/arxiv.1909.10226" @default.
- W4288103410 hasPublicationYear "2019" @default.
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